431345400014105 has 128 divisors (see below), whose sum is σ = 546441939763200. Its totient is φ = 326531522764800.

The previous prime is 431345400014083. The next prime is 431345400014107. The reversal of 431345400014105 is 501410004543134.

It is not a de Polignac number, because 431345400014105 - 2¹⁶ = 431345399948569 is a prime.

It is a super-2 number, since 2×431345400014105² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431345400014107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301008652469 + ... + 301008653901.

It is an arithmetic number, because the mean of its divisors is an integer number (4269077654400).

Almost surely, 2^{431345400014105} is an apocalyptic number.

It is an amenable number.

431345400014105 is a deficient number, since it is larger than the sum of its proper divisors (115096539749095).

431345400014105 is a wasteful number, since it uses less digits than its factorization.

431345400014105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 431345400014105 its reverse (501410004543134), we get a palindrome (932755404557239).

The spelling of 431345400014105 in words is "four hundred thirty-one trillion, three hundred forty-five billion, four hundred million, fourteen thousand, one hundred five".